CORDIS Project
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This project investigates the regularity and singularity properties of solutions to vectorial problems in mathematics, focusing on elliptic and parabolic types. It aims to understand the nature of singularities and their implications for numerical methods and mathematical modeling in scientific applications.
The aim of the proposed project is to start a systematic investigation of the fine regularity and singularity properties of solutions to vectorial problems, of elliptic and parabolic type, with special emphasis on the ones admitting a variational structure. A distinguishing feature of vectorial problems is the possibility of having solutions with singularities; in turn the structure of such singularities encodes subtle information about the fundamental nature of the underlying problem.
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